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Finding the Fourth Proportional to 6,087.50, 8,400.81 and 3,293.06

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Solution

The fourth proportional to 6,087.50, 8,400.81 and 3,293.06 is: 4,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.50 : 8,400.81 = 3,293.06 : x
  2. Step 2: Convert to fraction form
    6,087.50/8,400.81 = 3,293.06/x
  3. Step 3: Cross multiply
    6,087.50x = 8,400.81 × 3,293.06
  4. Step 4: Simplify right side
    6,087.50x = 27,664,371.38
  5. Step 5: Solve for x
    x = 27,664,371.38/6,087.50
  6. Step 6: Final answer
    x = 4,544.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.